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Finding the Fourth Proportional to 3,755.27, 5,632.27 and 1,563.41

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Solution

The fourth proportional to 3,755.27, 5,632.27 and 1,563.41 is: 2,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.27 : 5,632.27 = 1,563.41 : x
  2. Step 2: Convert to fraction form
    3,755.27/5,632.27 = 1,563.41/x
  3. Step 3: Cross multiply
    3,755.27x = 5,632.27 × 1,563.41
  4. Step 4: Simplify right side
    3,755.27x = 8,805,557.41
  5. Step 5: Solve for x
    x = 8,805,557.41/3,755.27
  6. Step 6: Final answer
    x = 2,344.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.